$$\sqrt {a_0 + \cfrac{b_1}{\sqrt{a_1 + \cfrac{b_2}{\sqrt{a_2 + \cfrac{b_3}{ \ddots }}}}}}$$ Are there any texts that explain how to deal with expressions like this?
2026-03-29 14:28:16.1774794496
Nested square root of continued fraction references
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Yes. Notice that continued fractions are themselves nested radicals or order $-1$. (See link for more details). So what you have there is a nested radical of order $-2$.